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Anon25 [30]
3 years ago
10

Which expression is equivalent to 5a+20? A: 5(5a+4). B: 5(a+4). C: 5(a+20). D: 5(a+1)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

5(a+4)

Step-by-step explanation:

expression is equivalent to 5a+20

To get the equivalent expression we need to factor the given expression

5a+ 20

5a can be written as 5 * a

20 can be written as 5*2*2

WE can see that common factor is 5 for both 5a and 20

So GCF is 5

Now we factor out GCF 5

WE put 5 outside and write all the left of factors inside the parenthesis

5a +20

5 (a+2*2)

5(a+4)

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Of the 6 people attending a seminar, 3 have red hair.
marin [14]

Answer:

1/2

Step-by-step explanation:

Total -- 6 people

3 people -- 3/6 = 1/2

Therefore, the answer is 1/2

3 0
3 years ago
The angle of depression from the top of a cruise ship to the top of a sailboat is 22. Sitting above water, the cruise ship is 23
dusya [7]

Answer:

The distance between the cruise ship and the sail boat is 517 feet.

Step-by-step explanation:

The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is

236 feet - 27 feet = 209 feet.

We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.

Now from trigonometry we get:

tan \: \theta = \dfrac{209}{d}

d= \dfrac{209}{tan\:\theta }

\boxed{d=517ft}

The distance between the cruise ship and the sailboat is 517 feet.

3 0
3 years ago
Consider the quadratic equation x2 + 2x - 35 = 0. Solve by factoring and using the zero-product property.
Morgarella [4.7K]

Answer:

x = -7

x = 5

Step-by-step explanation:

The standard form of quadratic equations is

Ax^2 + Bx + C = 0

The factors need to multiply together to be C and add together to be B.

The two numbers that will multiply together to be -35 and add together to be 2 are -5 & 7.

The factor pairs are (x+7)(x-5). Zero product property means we set each of those factor pairs = 0 and solve.

x + 7 = 0

-7 -7 Subtract 7 from each side to solve

x = -7

x - 5 = 0

+5 +5 Add 5 to each side to solve

x = 5

4 0
1 year ago
Read 2 more answers
Write an expression to represent multiplying the sum of 8 and 2 by 6.
eimsori [14]

Answer:

6 (8 + 2)

The sum means addition.  Add 8 and 2.  Multiply that entire thing by 6.

5 0
3 years ago
If p+q has the value that is exactly 1/3 less than p what is the value of q
solmaris [256]

Answer:

q = - \frac{1}{3} p

Step-by-step explanation:

\frac{1}{3} less than p = \frac{2}{3} p

Thus

p + q = \frac{2}{3} p ( multiply through by 3 to clear the fraction )

3p + 3q = 2p ( subtract 3p from both sides )

3q = - p ( divide both sides by 3 )

q = - \frac{1}{3} p

8 0
3 years ago
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